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natka813 [3]
3 years ago
6

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of t

he function that represents the average cost per person?
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases

the horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases

The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.​
Mathematics
2 answers:
valentinak56 [21]3 years ago
6 0

The answer is B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

OLga [1]3 years ago
6 0

Answer:

The answer is B on edge

Step-by-step explanation:

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Saying that 9 less than startroot x endroot less than 25 is equivalent to saying what about​ x?
Lana71 [14]

9 < SQRT X < 25

If we square each term of this :

81 < x < 625 : Answer

This is what we could say for x

Hope this will help you :)

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3 years ago
Find the value of x and y:<br> (9x + 5)<br> (12x – 37)<br> y
melisa1 [442]

Answer:

108x^2-273x-185

5 0
3 years ago
Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What
Oksi-84 [34.3K]

Hey there!!

The total cost is $52.

She paid $12 more for the layer cake than the cupcake.

Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x

The sum of these would result in $52.

... x + x + 12 = 52

... 2x + 12 = 52

... 2x = 52 - 12

... 2x = 40

... x = 20

Hence, the price of the cupcake is $20 and the price of the layer cake is $32.

Hope my answer helps!!


5 0
3 years ago
Which number is rational?
ziro4ka [17]

Answer:

We need some numbers to work with to truly answer this. However here's a definition of a rational numbers

A rational number is any number that isn't infinite and non-repeating. So decimals, fractions, repeating numbers/decimals like 1.535353.... (53 is the "pattern") are all rational and fair game. Numbers like pi (π), "imperfect" square roots, etc. that don't repeat and are infinite or NOT RATIONAL.

<u>Hope this helps and have a nice day!</u>

<u />

5 0
3 years ago
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
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